Question 1: (20 points) (A) The number of mobile phones sold daily at MEGA electronics has the following probability distribution. X: # of mobiles sold P(X=x) 18 0.4 19 0.2 22 0.3 a) What is the mean of the number of mobiles sold on a given day? b) What is the variance of the number of mobiles sold on a given day? (B) A Pharmaceutical company claims that a new drug is effective against COVID-19 60% of the time. The drug is tested on 24 selected patients. a) Use the Binomial distribution to find the probability that exactly 16 patients recovered from COVID-19? (Round your answer to the nearest thousandth). Question 5: (15 points) (A) A sample of 20 randomly chosen water melons was taken from a large population, and their weights were measured. The X = 100 mean weight of the sample was X = 100 lb. and the standard deviation was S = 15 lb. Construct a 90% confidence interval for the mean weight of the whole population of water melons. (B) A survey of families having kids at school showed that 372 of 1,200 sampled families attended a parents meeting during the year. Using the 90% level of confidence, what is the confidence interval for the proportion of families attended a parents meeting